Pith Number

pith:4KDBBW4H

pith:2015:4KDBBW4H2OB5WXOV3QVBG2CKSL

not attested not anchored not stored refs pending

Weyl-von Neumann-Berg theorem for quaternionic operators

G. Ramesh

arxiv:1511.08878 v1 · 2015-11-28 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KDBBW4H2OB5WXOV3QVBG2CKSL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:06:40.920841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28610db87d383db5dd5dc2a13684a92d4dcb98ef87d2f75aa73106c4da8a5c7

Aliases

arxiv: 1511.08878 · arxiv_version: 1511.08878v1 · doi: 10.48550/arxiv.1511.08878 · pith_short_12: 4KDBBW4H2OB5 · pith_short_16: 4KDBBW4H2OB5WXOV · pith_short_8: 4KDBBW4H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4KDBBW4H2OB5WXOV3QVBG2CKSL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e28610db87d383db5dd5dc2a13684a92d4dcb98ef87d2f75aa73106c4da8a5c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cafb4e0e3ff8d3b8c294d45aa4cfcc74f57ccf1bf00223333d82edb14a1fb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-28T08:13:29Z",
    "title_canon_sha256": "3126d43813ff5aecf374f65afe3485c05b297b2b13b91fd4dbd802545da4a4c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08878",
    "kind": "arxiv",
    "version": 1
  }
}